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Finding the Third Proportional to 73,086 and 158,700

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Solution

The third proportional to 73,086 and 158,700 is: 344,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,086 : 158,700 = 158,700 : x
  2. Step 2: Convert to fraction form
    73,086/158,700 = 158,700/x
  3. Step 3: Cross multiply
    73,086x = 158,700 × 158,700
  4. Step 4: Simplify right side
    73,086x = 25,185,690,000
  5. Step 5: Solve for x
    x = 25,185,690,000/73,086
  6. Step 6: Final answer
    x = 344,603.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.